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Archard equationThe Archard equation is a simple model used to describe sliding wear and is based around the theory of asperity contact. Additional recommended knowledgeEquationwhere:
DerivationThe equation can be derived by first examining the behavior of a single asperity. The local load , supported by an asperity, assumed to have a circular cross-section with a radius , is: where P is the yield pressure for the asperity, assumed to be deforming plastically. P will be close to the indentation hardness, H, of the asperity. If the volume of wear debris, , for a particular asperity is a hemisphere sheared off from the asperity, it follows that: This fragment is formed by the material having slid a distance 2a Hence, , the wear volume of material produced from this asperity per unit distance moved is:
However, not all asperities will have had material removed when sliding distance 2a. Therefore, the total wear debris produced per unit distance moved, will be lower than the ratio of W to 3H. This is accounted for by the addition of a dimensionless constant K, which also incorporates the factor 3 above. These operations produce the Archard equation as given above. K is therefore a measure of the severity of wear. Typically for 'mild' wear, K ≈ 10^{−8}, whereas for 'severe' wear, K ≈ 10^{−2}. |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Archard_equation". A list of authors is available in Wikipedia. |